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1.
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Which of the following represent functions? I. | Input | Output | II. | Input | Output | III. | Input | Output | | 4 | 0 | | 2 | 8 | | -2 | 0 | | 5 | 0 | | 4 | 6 | | 1 | 1 | | 6 | -1 | | 6 | 4 | | 1 | 2 | | 7 | -1 | | 8 | 2 | | 2 | 3 | | | | | | | | | |
a. | All | b. | I and II | c. | I and
III | d. | II and III |
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2.
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Determine whether the graph represents a function. 
a. | The relation is not a function. | b. | The relation is a
function. |
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3.
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Does the input-output table represent a function? If it does represent a
function, list the domain and range.
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4.
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Which of the following data sets is best described by a linear
function?
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5.
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Classify the function as discrete or continuous for the given domain. Then
identify the range of the function.  ; domain 
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6.
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Classify the function as discrete or continuous for the given domain. Then
identify the range of the function.  ; domain: x =
–4, –2, 0, 2, 4
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7.
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At a convenience store, bottles of water cost $1.20 each. The function  gives the cost of buying x bottles. Give a reasonable domain and range for the
function in this context.
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8.
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Evaluate  , when x = –2 .
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9.
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For  , what is the value of x for which  ?
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10.
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The domain of the function f is the set of integers greater than  . Which of the following values represent elements of the range of  ?
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11.
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For the function f, each range value is associated with only one domain
value. The range of  is  . What is the
domain of  ? Explain your answer.
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12.
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Use intercepts to graph the linear equation  .
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13.
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Graph the function  .
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14.
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The Tome family is renting a car for a few days. Meinke Rentals charges $48 per
day, plus a fixed cleaning fee of $30. The function  represents the cost to rent
a car from Meinke Rentals for d days. SmartRent charges $60 per day. The function  represents the cost to rent a car from SmartRent for d days. Graph M and
S on the same coordinate plane. Describe the transformations from the graph of M to the
graph of S..
a. |  A vertical shift down 30 units, followed
by a vertical stretch by a factor of 1.25. | c. |  A vertical
shrink by a factor of 0.8, followed by a vertical shift up 24 units. | b. |  A vertical stretch by a factor of 1.25, followed by a vertical shift down 30 units.
| d. |  A vertical shift up 24 units, followed by a vertical shrink by a factor of 0.8.
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15.
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The pressure in a car tire is given by
where p is pressure in psi and x is the number of months since the tire was filled.
Describe what this function represents.
a. | The initial tire pressure is 30 psi, and it goes down by 1 psi each month.
| b. | The initial tire pressure is 30 psi, and it increases by 1 psi each month.
| c. | The initial tire pressure is 1 psi, and it increases by 30 psi each month.
| d. | The initial tire pressure is 1 psi, and it goes down by 30 psi each month.
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16.
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The graph shows membership costs at a gym. What is the cost per
month? 
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17.
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Describe the effect of the transformation  .
a. | vertical translation of 9 units | c. | vertical stretch with
reflection | b. | horizontal translation of 9 units | d. | vertical stretch without
reflection |
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18.
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Let  be a vertical shift of 
down 8 units followed by a vertical shrink by a factor of  . Write the rule for  .
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19.
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What must be done to the graph of  to obtain the graph of the
function  ?
a. | The graph of f is shifted left 6 units, horizontally shrunk by a factor of
, and shifted down 8
units. | b. | The graph of f is shifted right 6 units, vertically shrunk by a factor of , and shifted down 8 units. | c. | The graph of f is shifted left 6 units,
vertically shrunk by a factor of , and shifted down 8
units. | d. | The graph of f is shifted left 6 units, vertically shrunk by a factor of , and shifted up 8 units. |
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20.
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What is the vertex of the graph? 
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